Citation
Abstract
In this paper, the direct three-point block one-step methods are considered for solving linear boundary value problems (BVPs) with two different types of boundary conditions which is the Dirichlet and Neumann boundary conditions. This method will solve the second order linear BVPs directly without reducing it to the system of first order equations. The direct solution of these two types of BVPs will be calculated at three points simultaneously using constant step size. This method will be used together with the linear shooting technique to construct the numerical solution. The implementation is based on the predictor and corrector formulas in the PE(CE)r mode. Numerical results are given to show the performance of this method compared to the existing methods.
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Official URL or Download Paper: http://www.iaeng.org/IJAM/issues_v43/issue_2/
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Additional Metadata
Item Type: | Article |
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Divisions: | Faculty of Science Institute for Mathematical Research |
Publisher: | International Association of Engineers |
Keywords: | Dirichlet boundary value problems; Neumann boundary value problems; Block method. |
Depositing User: | Umikalthom Abdullah |
Date Deposited: | 26 Aug 2014 02:58 |
Last Modified: | 18 Sep 2015 07:33 |
URI: | http://psasir.upm.edu.my/id/eprint/30195 |
Statistic Details: | View Download Statistic |
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